Refer to our Texas Go Math Grade 7 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 7 Module 1 Answer Key Rational Numbers.

## Texas Go Math Grade 7 Module 1 Answer Key Rational Numbers

**Texas Go Math Grade 7 Module 1 Are You Ready? Answer Key**

**Multiply. Write the product in simplest form.**

Question 1.

\(\frac{9}{14}\) × \(\frac{7}{6}\) ____________

Answer:

Start with dividing by the common factors:

\(\frac{9}{14}\) × \(\frac{7}{6}\)

= \(\frac{3}{4}\)

Question 2.

\(\frac{3}{5}\) × \(\frac{4}{7}\) ____________

Answer:

We do not have any common factors here to divide with.

Simplify:

= \(\frac{12}{35}\)

Question 3.

\(\frac{11}{8}\) × \(\frac{10}{33}\) ____________

Answer:

Start with dividing by the common factors:

\(\frac{11}{8}\) × \(\frac{10}{33}\)

= \(\frac{5}{12}\)

Question 4.

\(\frac{4}{9}\) × 3 ____________

Answer:

Start with dividing by the common factors:

Write 3 as \(\frac{3}{1}\)

\(\frac{4}{9}\) × \(\frac{3}{1}\)

= \(\frac{4}{3}\)

**Divide.**

Question 5.

\(\frac{1}{2}\) ÷ \(\frac{1}{4}\) ____________

Answer:

= \(\frac{1}{2}\) × \(\frac{4}{1}\) Multiply by the reciprocal of the divisor.

= \(\frac{1}{2}\) × \(\frac{4}{1}\) Divide by the common factors.

= \(\frac{2}{1}\) = 2 Simplify

= 2

Question 6.

\(\frac{3}{8}\) ÷ \(\frac{13}{16}\) ____________

Answer:

= \(\frac{3}{8}\) × \(\frac{16}{13}\) Multiply by the reciprocal of the divisor.

= \(\frac{3}{8}\) × \(\frac{16}{12}\) Divide by the common factors.

= \(\frac{6}{13}\) Simplify

= \(\frac{6}{13}\)

Question 7.

\(\frac{2}{5}\) ÷ \(\frac{14}{15}\) ____________

Answer:

= \(\frac{2}{5}\) × \(\frac{15}{14}\) Multiply by the reciprocal of the divisor.

= \(\frac{2}{5}\) × \(\frac{15}{15}\) Divide by the common factors.

= \(\frac{3}{7}\) Simplify

= \(\frac{3}{7}\)

Question 8.

\(\frac{4}{9}\) ÷ \(\frac{16}{27}\) ____________

Answer:

= \(\frac{4}{9}\) × \(\frac{27}{16}\) Multiply by the reciprocal of the divisor.

= \(\frac{4}{9}\) × \(\frac{27}{16}\) Divide by the common factors.

= \(\frac{3}{4}\) Simplify

= \(\frac{3}{4}\)

Question 9.

\(\frac{3}{5}\) ÷ \(\frac{5}{6}\) ____________

Answer:

= \(\frac{3}{5}\) × \(\frac{6}{5}\) Multiply by the reciprocal of the divisor.

= \(\frac{18}{25}\) No common factors. Simplify

= \(\frac{18}{25}\)

Question 10.

\(\frac{1}{4}\) ÷ \(\frac{23}{24}\) ____________

Answer:

= \(\frac{1}{4}\) × \(\frac{24}{23}\) Multiply by the reciprocal of the divisor.

= \(\frac{1}{4}\) × \(\frac{24}{23}\) Divide by the common factors.

= \(\frac{6}{23}\) Simplify

= \(\frac{6}{23}\)

Question 11.

6 ÷ \(\frac{3}{5}\) ____________

Answer:

Write 6 as \(\frac{6}{1}\)

= \(\frac{6}{1}\) × \(\frac{5}{3}\) Multiply by the reciprocal of the divisor.

= \(\frac{6}{1}\) × \(\frac{5}{3}\) Divide by the common factors.

= \(\frac{10}{1}\) = 10 Simplify

= 10

Question 12.

\(\frac{4}{5}\) ÷ 10 ____________

Answer:

Write 10 as \(\frac{10}{1}\)

= \(\frac{4}{5}\) × \(\frac{10}{1}\) Multiply by the reciprocal of the divisor.

= \(\frac{4}{5}\) × \(\frac{10}{1}\) Divide by the common factors.

= \(\frac{8}{1}\) = 8 Simplify

= 8

**Evaluate each expression.**

Question 13.

21 – 6 ÷ 3 _________

Answer:

= 21 – 2 MultipLy and divide from Left to right.

= 19 Add and substract from left to right

= 19

Question 14.

18 + (7 – 4) × 3 _________

Answer:

If first step get rid of parentheses to obtain:

18 + (7 – 3) • 3 = 18 + 3 • 3

In second step multiply from left to right.

18 + 3 • = 18 + 9

Third step is where we add from left to right.

18 + 9 = 27

= 27

Question 15.

5 + (8 – 3)^{2} ___________

Answer:

= 5 + (5)^{2} Operate within parenthesis.

= 5 + 25 SimpLify exponents

= 30 Add and substract from Left to right.

= 30

Question 16.

9 + 18 ÷ 3 + 10 ________

Answer:

= 9 + 6 + 10 MuLtiply and divide from Left to right

= 15 + 10 Add and substract from Left to right.

= 25

Question 17.

60 – (3 – 1)^{4} × 3 _________

Answer:

= 60 – (2)^{4} × 3 Operate within parenthesis.

= 60 – 16 × 3 SimpLify exponents

= 60 – 48 MuLtiply and divide from Left to right

= 12 Add and substract from left to right.

= 12

Question 18.

10 – 16 ÷ 4 × 2 + 6 _________

Answer:

= 10 – 4 × 2 + 6 MuLtipLy and divide from Left to right

= 10 – 8 + 6 Add and substract from Left to right.

= 2 + 6

= 8

**Texas Go Math Grade 7 Module 1 Reading Start-Up Answer Key**

**Visualize Vocabulary**

**Use the ✓ words to complete the graphic. You can put more than one word in each section of the triangle.**

**Understand Vocabulary**

**Complete the sentences using the preview words.**

Question 1.

A group of items is a __________. A set contained within another set is a __________.

Answer:

set, subset

Question 2.

The ___________ of a number is the same distance from 0 on a number line as the original number, but on the other side of 0.

Answer:

opposite

Question 3.

A ___________ can be expressed as a ratio of two integers.

Answer:

rational number